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Lesson 3 Contents

Lesson 3 Contents. Example 1 b and c Are Positive Example 2 b Is Negative and c Is Positive Example 3 b Is Positive and c Is Negative Example 4 b Is Negative and c Is Negative Example 5 Solve an Equation by Factoring Example 6 Solve a Real-World Problem by Factoring. Example 1

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Lesson 3 Contents

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  1. Lesson 3 Contents Example 1b and c Are Positive Example 2b Is Negative and c Is Positive Example 3b Is Positive and c Is Negative Example 4b Is Negative and c Is Negative Example 5Solve an Equation by Factoring Example 6Solve a Real-World Problem by Factoring

  2. Example 1 b and c Are Positive

  3. Factor In this trinomial, and You need to find the two numbers whose sum is 7 and whose product is 12. and Answer: Example 3-1a The correct factors are 3 and 4.

  4. F O I L FOIL method Simplify. Example 3-1a Check You can check the result by multiplying the two factors.

  5. Factor Answer: Example 3-1b

  6. Example 2 b Is Negative and c Is Positive

  7. Factor In this trinomial, and This means is negative and mn is positive. So m and n must both be negative. Therefore,make a list of the negative factors of 27, and look for the pair whose sum is –12. Answer: and Example 3-2a The correct factors are –3 and –9.

  8. Factor Answer: Example 3-2b

  9. Example 3 b Is Positive and c Is Negative

  10. Factor In this trinomial, and Thismeans is positive and mn is negative, so either m or n is negative, but not both. Therefore,make a list of the factors of –18 where one factorof each pair is negative. Look for the pair of factors whose sum is 3. Example 3-3a The correct factors are –3 and 6.

  11. and Answer: Example 3-3a

  12. Factor Answer: Example 3-3b

  13. Example 4 b Is Negative and c Is Negative

  14. Factor Since and is negative and mn is negative. So either m or n is negative, but not both. Example 3-4a The correct factors are 4 and –5.

  15. and Answer: Example 3-4a

  16. Factor Answer: Example 3-4b

  17. Example 5 Solve an Equation by Factoring

  18. Solve Check your solutions. Original equation Rewritethe equation so that one side equals 0. or Factor. Zero Product Property Solve each equation. Answer: The solution is Example 3-5a

  19. Example 3-5a Check Substitute –5 and 3 for x in the original equation.

  20. Solve Check your solutions. Answer: Example 3-5b

  21. Your Reward Pages 493 18-52 even

  22. End of Lesson 3

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